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13003252 = 2229112097
BaseRepresentation
bin110001100110…
…100111110100
3220110122002221
4301212213310
511312101002
61142412124
7215345233
oct61464764
926418087
1013003252
117381599
124431044
132903842
141a26b1a
15121cc37
hexc669f4

13003252 has 12 divisors (see below), whose sum is σ = 23540580. Its totient is φ = 6277376.

The previous prime is 13003247. The next prime is 13003259. The reversal of 13003252 is 25230031.

It can be written as a sum of positive squares in 2 ways, for example, as 6832996 + 6170256 = 2614^2 + 2484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55933 + ... + 56164.

It is an arithmetic number, because the mean of its divisors is an integer number (1961715).

Almost surely, 213003252 is an apocalyptic number.

It is an amenable number.

13003252 is a deficient number, since it is larger than the sum of its proper divisors (10537328).

13003252 is a wasteful number, since it uses less digits than its factorization.

13003252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112130 (or 112128 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13003252 is about 3606.0022185240. The cubic root of 13003252 is about 235.1530736513.

Subtracting from 13003252 its sum of digits (16), we obtain a square (13003236 = 36062).

Adding to 13003252 its reverse (25230031), we get a palindrome (38233283).

The spelling of 13003252 in words is "thirteen million, three thousand, two hundred fifty-two".

Divisors: 1 2 4 29 58 116 112097 224194 448388 3250813 6501626 13003252